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NUMERICAL APPROXIMATION OF CUBIC NONLINEAR SCHRODINGER EQUATION USING LOCAL FOURIER BASED DIFFERENTIAL QUADRATURE METHOD (L-DQM) | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 آبان 1405 اصل مقاله (1.61 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70421.3501 | ||
| نویسندگان | ||
| Meirikim Panmei؛ Thoudam Roshan* | ||
| Department of Mathematics, Manipur University, Canchipur-795003, Manipur, India. | ||
| چکیده | ||
| This paper introduces a numerical method to address the one-dimensional nonlinear Schrodinger equation, utilizing a localized differential quadrature scheme derived from Fourier series expansion to estimate the solutions. A Runge-Kutta fourth-order (RK4) method is used for time integration. To evaluate the accuracy and efficiency of the current approach, calculations have been performed for the error norm and the two lowest invariants, $C_1$ and $C_2$. The numerical results obtained were compared with earlier studies, and the findings clearly demonstrate that the present method is stable, accurate and highly effective numerical scheme. | ||
| کلیدواژهها | ||
| Cubic Nonlinear Schrodinger Equation؛ Fourier Series Expansion؛ Differential Quadrature Method؛ RK4؛ Soliton | ||
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